| 拟线性椭圆型方程在无界区域上的有界解及正解 |
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| 引用本文： | 蒋亚萍 鹿立江. 拟线性椭圆型方程在无界区域上的有界解及正解[J]. 兰州大学学报(自然科学版), 1992, 28(2): 16-24 |
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| 作者姓名： | 蒋亚萍 鹿立江 |
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| 作者单位： | 兰州大学数学系 兰州730000(蒋亚萍)，兰州大学数学系 兰州730000(鹿立江) |
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| 摘 要： |
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| 关 键 词： | 存在性 椭圆型方程 有界解 正解 |
The Bounded and Positive Solutions for Quasilinear Elliptic Differential Equations in Unbounded Domains |
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| Jiang Yaping,Lu Lijiang. The Bounded and Positive Solutions for Quasilinear Elliptic Differential Equations in Unbounded Domains[J]. Journal of Lanzhou University(Natural Science), 1992, 28(2): 16-24 |
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| Authors: | Jiang Yaping Lu Lijiang |
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| Abstract: | In this paper,the existence and uniqueness of the bounded and posi-tive solutions of Dirichlet problems for quasilinear elliptic differentialequations of non-divergence type were proved in unbounded domains inR~m.Here we mainly used the method of super-functions and sub-functionsdealing,and a local approach.Under certain assumptions we presentedthe sufficient and the necessary conditions to exist super-functions andsub-functions. |
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| Keywords: | existence uniqueness elliptic equation super-(sub-)functions ant0i-barriers bounded solutions positive solutions |
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